Answer:
D =20 inches
Step-by-step explanation:
Given that,
A birthday cake is cut into 8 slices. The arc length of one piece is 8.0 inches.
We need to find the diameter of the cake.
The circumference of a circle is given by :
[tex]C=2\pi r[/tex]
ATQ,
[tex]\dfrac{1}{8}\times 2\pi r=8\\\\2r=\dfrac{64}{\pi}\\\\2r=20\ in[/tex]
Diameter, D = 2r
So, the diameter of the cake is equal to 20 inches.
